Colin Christopher,
Chengzhi Li
Birkhäuser Basel
2007e druk, 2007
9783764384098
Limit Cycles of Differential Equations
Specificaties
Paperback, 171 blz.
|
Engels
Birkhäuser Basel |
2007e druk, 2007
ISBN13: 9783764384098
Rubricering
Onderdeel van serie
Advanced Courses in Mathematics - CRM Barcelona
Levertijd ongeveer 8 werkdagen
Samenvatting
This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application of abelian integrals to limit cycle bifurcations. Both topics are related to the authors' interests in Hilbert's sixteenth problem, but would also be of interest to those working more generally in the qualitative theory of dynamical systems.
Specificaties
ISBN13:9783764384098
Taal:Engels
Bindwijze:paperback
Aantal pagina's:171
Uitgever:Birkhäuser Basel
Druk:2007
Inhoudsopgave
Around the Center-Focus Problem.- Centers and Limit Cycles.- Darboux Integrability.- Liouvillian Integrability.- Symmetry.- Cherkas’ Systems.- Monodromy.- The Tangential Center-Focus Problem.- Monodromy of Hyperelliptic Abelian Integrals.- Holonomy and the Lotka-Volterra System.- Other Approaches.- Abelian Integrals and Applications to the Weak Hilbert’s 16th Problem.- Hilbert’s 16th Problem and Its Weak Form.- Abelian Integrals and Limit Cycles.- Estimate of the Number of Zeros of Abelian Integrals.- A Unified Proof of the Weak Hilbert’s 16th Problem for n=2.